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Answer:
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ASA and AAS
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Step-by-step explanation:
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We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
Answer : domain: {x | x is a real number}; range: {y | y >- 8}
the domain and range of 
For exponential function , there is no restriction for x
So domain is all real numbers
For exponential function , 
The range is y > b
The range of 
is y> -8
domain: {x | x is a real number}; range: {y | y > –8}
Answer:
Step-by-step explanation:
Represent the lure's difference with A and B;
Required
Determine the difference in depth between the lure's depth
The distance is calculated as follows;
Substitute 23 feet for A and 81 feet for B
<em>Hence, the distance between both lure's is 58 feet</em>
Answer:
a. a parameter.
Step-by-step explanation:
A parameter is a property that describes the whole population, while a statistic is a property pertaining to a sample or sub-set of the population.
In this example, the average content of 4 ounces pertains to the 121 bottles sample and thus is a statistic. While the standard deviation of the population is mentioned to be 0.22 ounces, therefore 0.22 is a parameter.
Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:
y-y₁ = m(x-x₁), where,
m = (y₂-y₁)/(x₂-x₁) is the slope of the line
(x₁,y₁) and (x₂,y₂) are the coordinates of the two points
On the other hand, the slope-intercept form is written as:
y = mx + b, where,
m is the slope of the line
b is the y-intercept
In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation.
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
